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Linearized oscillations in population dynamics

✍ Scribed by M.R.S. Kulenovic´; G. Ladas

Publisher
Springer
Year
1987
Tongue
English
Weight
609 KB
Volume
49
Category
Article
ISSN
1522-9602

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✦ Synopsis

A linearized oscillation theorem due to KulenoviC, Ladas and Meimaridou (1987, Quart. appl. Math. XLV, 155-164) and an extension of it are applied to obtain the oscillation of solutions of several equations which have appeared in population dynamics. They include the logistic equation with several delays, Nicholson's blowflies model as described by Gurney, Blythe and Nisbet (1980, Nature, Land. 287,17-21) and the Lasota-Wazewska model of the red blood cell supply in an animal. We also developed a linearized oscillation result for difference equations and applied it to several equations taken from the biological literature.

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